Answer:
CB = 20 or D
Step-by-step explanation:
Remark
You have a proportion. A proportion consists of 2 equal ratios. Three parts of the Proportion of 4 much be known. Then you can solve for the 4th.
Formula
Large vertical / Small Vertical = large horizontal / Small horizonal. Notice how Large goes on top of the ratios and small on the bottom.
Givens
Large Vertical: 8 feet
Small Vertical: 5 feet
Large horizontal: CA + 12.5 feet
Small Horizontal: 12.5
Solution
8/5 = (CA + 12.5) / 12.5 Cross Multiply
5(CA + 12,5) = 8 * 12.5 Remove the Brackets
5CA + 62.6 = 100 Subtract 62.5 from both sides.
5CA = 37.5 Divide by 5
CA = 7.5
CB = CA + 12.5
CB = 7.5 + 12.5
CB = 20
Answer
D
The complementary angels are the two angles that sum 90°.
- complementary (27° and 63°) or (26 and 64°)
- three angels that sum 180°
(68°+42°+70° = 180°)
hope this helps :)
Answer:
Step-by-step explanation:
There are two options as below.
1. JL/JK = 5 : 1
<u>Find the coordinates of L:</u>
- x = -2 + 5/6(10 - (-2)) = -2 + 10 = 8
- y = 10 + 5/6(-14 - 10) = 10 - 20 = - 10
The point is L(8, - 10)
2. JL/JK = 1 : 5
<u>Find the coordinates of L:</u>
- x = -2 + 1/6(10 - (-2)) = -2 + 2 = 0
- y = 10 + 1/6(-14 - 10) = 10 - 4 = 6
The point is L(0, 6)
<span>x^4+2x³-8x-16
-------------------
x + 2
</span> x^3(x+2) - 8(x+2)
= --------------------------
x + 2
(x+2) (x^3 - 8)
= -----------------------
x + 2
= x^3 - 8
= (x - 2)(x^2 + 2x + 4)
answer
(x - 2)(x^2 + 2x + 4)